Question

Listening to music has long been thought to enhance intelligence, especially during infancy and childhood. To test whether this is true, a researcher records the number of hours that eight high-performing students listened to music per day for 1 week. The data are listed in the table.

4.1

4.7

5.1

3.9

4.1

5.6

4.1

4.3

(a) Find the confidence limits at a 95% CI for this one-independent sample. (Round your answers to two decimal places.)

____ to ____ hours per day

(b) Suppose the null hypothesis states that students listen to 3.5 hours of music per day. What would the decision be for a two-tailed hypothesis test at a 0.05 level of significance?

Retain the null hypothesis because the value stated in the null hypothesis is within the limits for the 95% CI.

Reject the null hypothesis because the value stated in the null hypothesis is outside the limits for the 95% CI.

Reject the null hypothesis because the value stated in the null hypothesis is within the limits for the 95% CI.

Retain the null hypothesis because the value stated in the null hypothesis is outside the limits for the 95% CI.

Answer 1